Compare 30/49 and 10/16
30/49 is smaller than 10/16
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
30/49 = 30 × 16/49 × 16 = 480/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
10/16 = 10 × 49/16 × 49 = 490/784 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 480/784 < 490/784 or 30/49 < 10/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/49 and 10/16 30/49 and 20/16 30/98 and 10/16 30/49 and 10/32 90/49 and 10/16 30/49 and 30/16 30/49 and 10/48 30/49 and 50/16 30/49 and 10/80 30/49 and 70/16